Generally speaking, vinegar over time should clear most mineral deposits. I'm not sure mixing it with baking soda makes sense, one is acidic, one basic, so you end up with mostly salt in water. Most mineral deposits are cabornates, like calcium carbonate (from water hardness unless you have RO). Vinegar dissolves that albeit slowly.
A stronger acid will work faster but may also attack the metal.
I had mixed results with CLR back in the day.